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1120011002190 = 2335231135115889
BaseRepresentation
bin10000010011000101110…
…110111010000101001110
310222001221111022000011000
4100103011312322011032
5121322240304032230
62214305334441130
7143626626303543
oct20230566720516
93861844260130
101120011002190
113a1aa3015133
121610955031a6
1381802835982
143c2cd014bca
151e202691b60
hex104c5dba14e

1120011002190 has 128 divisors (see below), whose sum is σ = 3117023078400. Its totient is φ = 285640819200.

The previous prime is 1120011002179. The next prime is 1120011002219. The reversal of 1120011002190 is 912001100211.

It is a happy number.

It is a super-2 number, since 2×11200110021902 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70481766 + ... + 70497654.

It is an arithmetic number, because the mean of its divisors is an integer number (24351742800).

Almost surely, 21120011002190 is an apocalyptic number.

1120011002190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120011002190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558511539200).

1120011002190 is an abundant number, since it is smaller than the sum of its proper divisors (1997012076210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120011002190 is a wasteful number, since it uses less digits than its factorization.

1120011002190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27279 (or 27273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1120011002190 in words is "one trillion, one hundred twenty billion, eleven million, two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 11351 15889 22702 31778 34053 47667 56755 68106 79445 95334 102159 113510 143001 158890 170265 204318 238335 261073 286002 306477 340530 365447 429003 476670 510795 522146 612954 715005 730894 783219 858006 1021590 1096341 1305365 1430010 1532385 1566438 1827235 2145015 2192682 2349657 2610730 3064770 3289023 3654470 3916095 4290030 4699314 5481705 6578046 7048971 7832190 9867069 10963410 11748285 14097942 16445115 19734138 23496570 32890230 35244855 49335345 70489710 98670690 180356039 360712078 541068117 901780195 1082136234 1623204351 1803560390 2705340585 3246408702 4148188897 4869613053 5410681170 8116021755 8296377794 9739226106 12444566691 16232043510 20740944485 24348065265 24889133382 37333700073 41481888970 48696130530 62222833455 74667400146 112001100219 124445666910 186668500365 224002200438 373337000730 560005501095 1120011002190